What is the tangent of 2x^4+(3x)/5 ,\at x=0 ?

The tangent of 2x^4+(3x)/5 ,\at x=0 is y= 3/5 x

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tangent of 2x^4+(3x)/5 ,\at x=0

tangent of

2 x^{4} + \frac{3 x}{5}, at x = 0

y = \frac{3}{5} x

Solution steps

Find the tangent point:

(0, 0)

Find the slope of

y = 2 x^{4} + \frac{3 x}{5} : \frac{d y}{d x} = 8 x^{3} + \frac{3}{5}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = \frac{3}{5}

Find the line with slope m=

\frac{3}{5}

and passing through

(0, 0) : y = \frac{3}{5} x

y = \frac{3}{5} x

\int (2 + 2 x) e^{(4 x + 2 x^{2})} d x

\int_{0}^{1} \frac{4 x ^{3}}{1 + x ^{4}} d x

8 y^{^{''}} + 34 y = 0, y (0) = 2, y^{^{'}} (0) = 7

\int - 4 y d y

f^{^{'}} (x) = sin (x)

What is the tangent of 2x^4+(3x)/5 ,\at x=0 ?
The tangent of 2x^4+(3x)/5 ,\at x=0 is y= 3/5 x